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On Universal Operators and Universal Pairs

Part of: Special classes of linear operators

Published online by Cambridge University Press:  08 June 2018

Riikka Schroderus  and
Hans-Olav Tylli
Riikka Schroderus
Affiliation:
Department of Mathematics and Statistics, University of Helsinki, Box 68, FI-00014 Helsinki, Finland (riikka.schroderus@helsinki.fi; hans-olav.tylli@helsinki.fi)
Hans-Olav Tylli*
Affiliation:
Department of Mathematics and Statistics, University of Helsinki, Box 68, FI-00014 Helsinki, Finland (riikka.schroderus@helsinki.fi; hans-olav.tylli@helsinki.fi)
*
*Corresponding author.
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Abstract

We study some basic properties of the class of universal operators on Hilbert spaces, and provide new examples of universal operators and universal pairs.

Keywords

Hilbert spaceuniversal operatoruniversal commuting paircomposition operator

MSC classification

Primary: 47B37: Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 3 , August 2018 , pp. 891 - 908
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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